2225651224500 has 288 divisors, whose sum is σ = 7669060334208. Its totient is φ = 538876800000.

The previous prime is 2225651224483. The next prime is 2225651224513. The reversal of 2225651224500 is 54221565222.

2225651224500 is a `hidden beast` number, since 2 + 2 + 25 + 6 + 5 + 122 + 4 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40116780 + ... + 40172220.

It is an arithmetic number, because the mean of its divisors is an integer number (26628681716).

Almost surely, 2^{2225651224500} is an apocalyptic number.

2225651224500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225651224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834530167104).

2225651224500 is an abundant number, since it is smaller than the sum of its proper divisors (5443409109708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225651224500 is a wasteful number, since it uses less digits than its factorization.

2225651224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56288 (or 56273 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2225651224500 its reverse (54221565222), we get a palindrome (2279872789722).

The spelling of 2225651224500 in words is "two trillion, two hundred twenty-five billion, six hundred fifty-one million, two hundred twenty-four thousand, five hundred".